1748
1748 is the year excavation began at Pompeii.
- Even
- Composite
Where 1748 fits
Why 1748 is special
The ash that destroyed the city in 79 also preserved it, including bread in ovens and graffiti on walls. It remains the most detailed surviving picture of ordinary Roman life.
Same number, different meanings
How 1748 is understood across different contexts — never implying one meaning because of another.
- Mathematics
The ash that destroyed the city in 79 also preserved it, including bread in ovens and graffiti on walls. It remains the most detailed surviving picture of ordinary Roman life.
- History
Pompeii's excavation from 1748 revealed a Roman town preserved by the eruption that killed it, down to election notices and shopping lists scratched on walls. Ordinary life survives there in a way it does almost nowhere else.
- Science
In 1748, systematic excavation began at Pompeii, revealing a Roman town preserved by volcanic ash (Italy).
1748 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748
- Prime factorisation
- 2^2 × 19 × 23
- Digit sum
- 20
- Digital root
- 2
Representations
- Decimal
- 1748
- Scientific notation
- 1.748 × 10^3
Roman numerals
M D C C X L V I I I
MDCCXLVIII uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 1 0 1 1 0 1 0 1 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 1 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 1,748
Octal
3 3 2 4
3 × 512 + 3 × 64 + 2 × 8 + 4 × 1 = 1,748
Hexadecimal
6 d 4
6 × 256 + d × 16 + 4 × 1 = 1,748
Read as powers of two: 1,024 + 512 + 128 + 64 + 16 + 4 = 1,748.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 4 hobbles, 8 strokes
1 × 1,000 + 7 × 100 + 4 × 10 + 8 × 1 = 1,748. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 9 vertical wedges (sixties place), 8 vertical wedges (units place)
29 × 60 + 8 = 1748. Places are separated by a space on the tablet, with the higher place written first.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
- Happy number
Related numbers & connections
1748 is a year in the 18th century, in the 1740s.
Excavation at Pompeii began in 1748, revealing a town preserved by the eruption that destroyed it in 79.
View 79 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with79
why?
Strength 0.50, confidence "high".
History
Pompeii's excavation from 1748 revealed a Roman town preserved by the eruption that killed it, down to election notices and shopping lists scratched on walls. Ordinary life survives there in a way it does almost nowhere else.
DocumentedHistoryGeography: ItalyPeriod: 1748
Science
In 1748, systematic excavation began at Pompeii, revealing a Roman town preserved by volcanic ash (Italy).
DocumentedScienceGeography: ItalyPeriod: 1748
Common questions
Is 1748 a prime number?
No, 1748 is not prime.
What are the factors of 1748?
The factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748.
What is 1748 in Roman numerals?
1748 in Roman numerals is MDCCXLVIII. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MDCCXXXXVIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026